Explain please

When you give an input to the function, it spits out another number based on some logic (the logic is not specified in the question). So think of the function as a black box. Roots of the function is where the function spits out a zero. So if you give 3 as your input, it’ll give you an output of zero, i.e. f(3) = 0. similarly f(5)=0 (which is also given).

Now if you’re inputting (x+2) to the function and expecting an output of 0, then with the information we know already, x+2 should be a 3 or a 5.

if x+2 = 3, then x must be 1.

if x+2 = 5, then x must be 3.

So 1 and 3 are your answers

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Thank you